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SashulF [63]
3 years ago
5

Simplify the following expression (3x^2y)^3

Mathematics
1 answer:
kolezko [41]3 years ago
6 0

Answer:

\large\boxed{\left(3x^2y\right)^3=27x^6y^3}

Step-by-step explanation:

\text{Use}\ (ab)^n=a^nb^n\ \text{and}\ (a^n)^m=a^{nm}\\\\\left(3x^2y\right)^3=3^3(x^2)^3y^3=27x^6y^3

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Using the dimensions shown, you could create a rectangular prism. Caculate the surface area for the rectangular prism. A 30m2 b
Lisa [10]

Answer:

<em>550ft²</em>

Step-by-step explanation:

<em>Since we are not given the dimension of the rectangular prism. Let us assume;</em>

Length of the rectangular base L = 10ft

Width of the rectangular base W = 15ft

height of the prism H = 5ft

Total surface area of the prism = 2(LW + WH + LH)

Substitute the given values

Total surface area of the prism = 2{10*15 + 15*5 + 10*5}

Total surface area of the prism = 2(150+75+50)

Total surface area of the prism = 2(275)

<em>Total surface area of the prism = 550ft²</em>

6 0
3 years ago
Write a word problem that can be described by the division expression 3÷1/4. Use complete sentences in your answer
AURORKA [14]
The question is simply asking us to create a word problem.
The word problem describing the division expression  3÷1/4 will be:
Given that Annie has 3 oranges and he wants to each orange into quarters, how many quarters will Annie have in total?
 
4 0
3 years ago
Read 2 more answers
The area of the triangle is 33.6 square inches. If the h eyesight of the triangle is 4 inches what is the length of the base
DerKrebs [107]
Using the formula for the area of a triangle we can solve for the base.

The formula for area of a triangle is : Area = 1/2 x base x height

We are given the area and the height:

33.6 = 1/2 x 4 x base

Multiply both sides by 2 to remove the 1/2:

67.2 = 4 x base

Divide both sides by 4 to solve for the base:

67.2 /4 = 16.8
 
Check: Area = 1/2 x 4 x 16.8 = 33.6

The base is 16.8 inches.

5 0
3 years ago
In 1626, the Dutch bought Manhattan Island, now part of New York City, for $24 worth of merchandise. Suppose that, instead, $24
Radda [10]
2008 - 1626 -= 382

24 x (1.305)^382

= 12,229,955,10

Hope this helps
5 0
3 years ago
Read 2 more answers
WILL MARK BRAINLIEST PLEASE HELP
Serga [27]
It’s the second one, 65.4

V=1
6πd3=1
6·π·53≈ 65.44985in³
7 0
3 years ago
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